Seminari del Dipartimento di Matematica

Seminario del 2026

Maria Angelica Cueto

Tritangent planes to space sextic curves: a tropical viewpoint

nel ciclo di seminari: SEMINARIO DI ALGEBRA E GEOMETRIA

algebra e geometria

A classical result due to Clebsch from the mid-nineteenth century confirms that every complex space sextic curve (given as an intersection of a quadric and a cubic surface in projective 3-space) has exactly 120 tritangent planes. In this talk we will show how to use combinatorial methods arising from tropical geometry to revisit this classical problem and perform the analogous count over the reals and extensions thereof. This is joint work with Yoav Len, Hannah Markwig and Yue Ren (arXiv:2512.24277 and arXiv:2605.19905).